You can expect to pay anywhere from $10 to $50 for the thermostat itself. Higher-end brands or those marketed as "heavy-duty" will usually be at the higher end of that range. Installation can add significantly to the total cost if you have a mechanic do it.
To get a precise price, I recommend:
* Checking online retailers: Search on Amazon, AutoZone, Advance Auto Parts, or other online auto parts stores, specifying "2005 Chevy Trailblazer thermostat."
* Visiting local auto parts stores: Go to your nearest auto parts store (like those listed above) and ask for a thermostat for your specific year and model Trailblazer. They can look it up in their system and give you an exact price.
Remember to specify the engine size (e.g., 4.2L, 5.3L) when ordering or inquiring, as different engines may use different thermostats.